Printing of biologically functional constructs is significant for applications in tissue engineering and regenerative medicine. Designing bio‐inks remains remarkably challenging due to the multifaceted requirements in terms of the physical, chemical and biochemical properties of the three‐dimensional matrix, such as cytocompatibility, printability and shape fidelity. In order to promote matrix and materials stiffness, while not sacrificing stress relaxation mechanisms which support cell spreading, migration and differentiation, we report an interpenetrating network bio‐ink design. Our approach makes use of a chemically defined network, combining physical and chemical crosslinking unites with a tunable composition and network density, as well as spatiotemporal control over post‐assembly material stiffening. To this end, star‐shaped polyethylene glycols functionalized with Phe‐Gly‐Gly tripeptide or photoactive stilbazolium are synthesized, and used to prepare three‐dimensional networks with cucurbit[8]uril (CB[8]) through supramolecular host‐guest‐complexation. The hydrogel obtained shows fast relaxation and thus supports the proliferation and differentiation of cells. Upon irradiation, the mechanical properties of the hydrogel can be rapidly adapted via selective photochemical dimerization of stilbazolium within CB[8], leading to interpenetrating networks with increased form stability while retaining the dynamic nature of the hydrogels. This modular approach opens new design opportunities for extrudable and cell‐friendly dynamic biomaterials for applications in 3D‐bioprinting.This article is protected by copyright. All rights reserved